| Webster Wells - Geometry - 1894 - 256 pages
...THEOREM. 277. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the product of one of these sides and** tlie projection of the other side upon it. Fig. 2. Let C be an acute angle of the triangle ABC, and... | |
| Webster Wells - Geometry - 1894 - 398 pages
...opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice. tJie **product of one of these sides and the projection of the other side upon it.** D fig. 1. fig. 2. Let C be an acute angle of the triangle ABC, and draw AD perpendicular to CB, produced... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...opposite an acute angle is equivalent to the sum of the squares on the other two sides diminished by **twice the product of one of these sides and the projection of the other** upon that side. 4. Prove that regular polygons of the same number of sides are similar figures. SHEFFIELD... | |
| Nathan Fellowes Dupuis - Geometry - 1894 - 313 pages
...acute angle is less than the sum of the squares upon the other two sides by twice the rectangle on **one of these sides and the projection of the other side upon it.** 3. Let the angle A become obtuse. Then D, the foot of the altitude to by passes beyond A, and L\ changes... | |
| Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...37. PROPERTIES OF TRIANGLES. THEOREM I. The square of any side of a triangle is equal to the sum of **the squares of the other two sides, minus twice the product of** these sides into the cosine of their included angle. If the included angle, as A, is acute, a2 = V1... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...THEOREM 325. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the...sides and the projection of the other side upon it.** a no. t n FIG. • GIVEN the triangle ABC and C, an acute angle. Draw AD perpendicular to CB or CB... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...THEOREM 325. In any triangle, the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the...sides and the projection of the other side upon it.** a, FIG. i n FIG. a GIVEN the triangle ABC and C, an acute angle. Draw AD perpendicular to CB or CB... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus **twice the product of one of these sides and the projection of the other side upon it.** GIVEN — the obtuse-angled triangle ABC with B the obtuse angle. Draw AD perpendicular to CB produced,... | |
| Joe Garner Estill - 1896 - 186 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by **twice the product of one of these sides and the projection of the other side upon it.** Prove. 5. Two equivalent triangles have a common base and lie on opposite sides of it. Prove that the... | |
| University of the South - 1896 - 148 pages
...rhombus. (5) In any triangle the square of the side opposite an acute angle is equal to the sum of **the squares of the other two sides, minus twice the product of one of these sides** into the projection of the other side upon it. IV. LATIN. Sight reading: Cicero de Amicitia, section... | |
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